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201264152496 = 243113161201577
BaseRepresentation
bin1011101101110001000…
…1110011111110110000
3201020111110000021201020
42323130101303332300
511244142110334441
6232243125135440
720353341032541
oct2733421637660
9636443007636
10201264152496
11783a0404730
123300ab5a580
1315c961b56c4
149a53d504c8
15537e432e66
hex2edc473fb0

201264152496 has 160 divisors (see below), whose sum is σ = 595096958976. Its totient is φ = 58053888000.

The previous prime is 201264152471. The next prime is 201264152497. The reversal of 201264152496 is 694251462102.

It is not an unprimeable number, because it can be changed into a prime (201264152497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897660 + ... + 1099236.

Almost surely, 2201264152496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201264152496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297548479488).

201264152496 is an abundant number, since it is smaller than the sum of its proper divisors (393832806480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201264152496 is a wasteful number, since it uses less digits than its factorization.

201264152496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201691 (or 201685 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 201264152496 in words is "two hundred one billion, two hundred sixty-four million, one hundred fifty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 61 62 66 88 93 122 124 132 176 183 186 244 248 264 341 366 372 488 496 528 671 682 732 744 976 1023 1342 1364 1464 1488 1891 2013 2046 2684 2728 2928 3782 4026 4092 5368 5456 5673 7564 8052 8184 10736 11346 15128 16104 16368 20801 22692 30256 32208 41602 45384 62403 83204 90768 124806 166408 201577 249612 332816 403154 499224 604731 806308 998448 1209462 1612616 2217347 2418924 3225232 4434694 4837848 6248887 6652041 8869388 9675696 12296197 12497774 13304082 17738776 18746661 24592394 24995548 26608164 35477552 36888591 37493322 49184788 49991096 53216328 68737757 73777182 74986644 98369576 99982192 106432656 135258167 137475514 147554364 149973288 196739152 206213271 270516334 274951028 295108728 299946576 381182107 405774501 412426542 541032668 549902056 590217456 762364214 811549002 824853084 1082065336 1099804112 1143546321 1524728428 1623098004 1649706168 2164130672 2287092642 3049456856 3246196008 3299412336 4193003177 4574185284 6098913712 6492392016 8386006354 9148370568 12579009531 16772012708 18296741136 25158019062 33544025416 50316038124 67088050832 100632076248 201264152496